Frequency is the number of occurrences of a repeating event per unit of time. It is also occasionally referred to as temporal frequency to emphasize the contrast to spatial frequency, and ordinary frequency to emphasize the contrast to angular frequency. Frequency is measured in hertz (Hz) which is equal to one event per second. The period is the duration of time of one cycle in a repeating event, so the period is the reciprocal of the frequency. For example: if a newborn baby's heart beats at a frequency of 120 times a minute (2 hertz), its period, T—the time interval between beats—is half a second (60 seconds divided by 120 beats). Frequency is an important parameter used in science and engineering to specify the rate of oscillatory and vibratory phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light.
Pay attention to the table below.
\begin{array}{|c|c|c|c|c|c|}\hline Frequency & 5 & 6 & 7 & 8 & 9 \\ \hline Score & 6 & 6 & 10 & 15 & 5\\ \hline \end{array}
The amount of students who get above average are...
A. 9 students
B. 17 students
C. 18 students
D. 26 students
I got the average as...
Homework Statement
Here is the transfer function of a buck converter I derived:
What I need to do next is obtain equations for w0 and ζ. I know how to do this for equations that follow the general form:
But in this case I just can't figure out exactly how to do it. How do I find a...
I was asked by a friend to explain why the frequency, ##f## and period, ##T## of a wave. The initial explanation I gave to them was as follows:
Heuristically, the period of a wave is defined as ##T=\frac{\text{number of units time}}{\text{cycle}}##, and its frequency as ##f=\frac{\text{number...
In the figure below we put a small coin on a disc, which rotates at constant frequency f, at a distance D=0.2m by the disc rotation axis. If the coefficient of friction is μ=0.5, then what is is the maximum frequency that can have the disc so that the currency does not slip? g=10 m/sec^2
Anyone...
Homework Statement
A 2-year old child has an outer ear length of approximately 1.7 cm (compared to 2.5 cmfor an adult). Find the resonant frequency of the outer ear of the average 2 year old
b.Draw a diagram of the natural harmonic for the child’s ear.
Homework Equations
f=v/waveleng
where...
Homework Statement
Homework Equations
V=IR
H(w) = Y/F = Impedance of circuit
The Attempt at a Solution
I wanted to simplify this circuit before I find any impedance, but I am not sure if I did my source transformation correctly. Can i combine the f(t) current source with the 1ohm in...
For example a metal atom have 3 electrons which occupies 2 energy level. Is the threshold frequency = the energy needed to bring an electron in E2 to E(infinity) / h?
I know everything has a natural frequency that is a intrinsic property to the body in question. For example, a string vibrating has the largest amplitudes when it's vibrating near it's natural frequency, and the same thing happens with other things too (like the Tacoma Bridge).
Natural...
Homework Statement
A mass "m" is attached to a spring of constant "k" and is observed to have an amplitude "A" speed of "v0" as it passes through the origin.
a) What is the angular frequency of the motion in terms of "A" and "v0"?
b) Suppose the system is adjusted so that the mass has speed...
I would like to know why the frequency of a wave doesn't change after a refraction.
I have seen some arguments about Energy conservation that in order to conserve energy "Assuming no reflection" the same amount of waves must be coming out in the same time.
But That raises a question, Why can't...
Homework Statement
a) Derive the Rayleigh-Jeans distribution by taking the low-frequency limit of Planck's distribution.
b) Derive the Wien distribution by taking the high-frequency limit of Planck's Distribution.
Homework Equations
## u(f) = \frac {8 \pi f^2} {c^3} \frac {hf} {e^{\frac...
Hi.
I need some help in explaining in a simple way how to calculate the minimum allowable
frequency at a certain voltage when selecting a pulse transformer.
The one I'm looking at has an ET value of 45Vusec.
I'm feeding it 22.5KHz at +/-6VAC square wave. It seems to work fine but I fear it is...
Homework Statement
For my lab class my professor wants us to graph the theoretical amplitude of the output from a low-pass filter vs. frequency. I have the resistance and capacitance that I chose for the RC circuit and a V(in). Is there an equation that I should be able to use to relate these...
so i do understand clearly that the higher the energy of a wave , the higher the amplitude ... but what i was not understanding is how we can create a wave that performs 50 oscillations per second with the same amount of energy that we use to form 1 oscillations per second , with both waves of...
Hi everyone,
I am working on some problem relating to radars. The problem boils down to finding the frequency of the complex exponential in a constant + complex exponential + noise model. I found some papers on sinusoid recognition but they use the sinusoid + noise model only. I tried to come...
Homework Statement
Homework Equations
T = 2π√(m/k)
mx'' + kx = 0
F = ma
The Attempt at a Solution
I don't honestly know where to start with this. I'm really out of my league in this class, and I'm trying my best to catch up with the things I didn't quite master in Dynamics and Physics...
As...
Referring to LEDs as I'm not aware of any other "colour-producing" light, does blue light use more energy than red light?
Planck's formula (E=hf) leads me to believe that blue light would drain a battery quicker than red, due to its higher frequency. Surely a device emitting blue light would...
Hi guys,
I see ferrite beads used on the input of V1 on some high end tube guitar amp designs without any indication of type and value.
Can you give me some idea how to select this component and at what other places in a tube amp it could prove useful?
Thanks,
Billy
Homework Statement
Plane harmonic waves of 1/p, 1/q, 1/r and 1/s are travelling, respectively, in the directions of the (non-unit) vectors (1,1,1), (1,-1,-1), (-1,1,-1) and (-1,-1,1). Show that there exists an inertial coordinate system in which they have the same frequency if and only if...
Homework Statement
Given a sine-wave generator of frequency f having internal resistance R1 connected to a high-pass filter. If the generator shown in the dotted outlined box produces a voltage V0(t) = V0 cos(2π ft) with no load, derive an expression for the output voltage V1(t) = V1 cos(2π ft...
Dear All,
Suppose we have a electromagnetic/x-ray pulse with fixed energy with finite line width. I want to know the schematic of a plot how it looks in time- and frequency-domain?
I think I understand in time domain: there will a straight vertical line on plotting intensity vs time in x-axis...
41 35 29 43 16 49 32 6 20 10 26 28 47 43 7 36 13 10 0 2 The data represent the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using 5 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the...
So i have a piezoelectric film deposited in the metal substrate and i want to determine the resonant frequency. Basically i can determine the resonant frequency base on the dimensions. But i need to proved it using experimental set-up. So i applied AC Voltage to the material then the material...
What is the intuition for why the frequency of light does not change as it passes from a less dense medium to a denser one (or vice versa)?
Classically, if we treat light in terms of waves, then intuitively, is the reason why the frequency does not change because it is determined by the...
Homework Statement
Problem is to find the half power frequencies of a RLC circuit.
Z = √(R2 + (WL-1/WC)2)
2. Homework Equations
Power(P) = V2/Z
Pmax = V2/R <---because Z min = R
The Attempt at a Solution
P/2 = V2/2R = V2/Z
Z=2R
(R2 + (WL-1/WC)2) = 4R2
(WL-1/WC)2 - 3R2 = 0
W2-3WR/L-1/LC = 0...
To calculate the Keldysh parameter, I need to use the optical frequency of a laser in atomic unit.
Since for the time: 1 a.u. = 2.42×10-17 s, I would assume that for the frequency:
1 a.u. = 4.13×1016 s-1 which is juste the inverse of the time one. However, I found several sources such as...
Hello everyone.
I understand the concept of eigenvalues and eigenvectors, using usually a geometric intuition, that a eigenvectors of a matrix M are stretched by the corresponding eigenvalue, when transformed through M.
My professor said that eigenvalues represent a generalization of the...
Here's the amplifier in question:
I'm not understanding this part:
Why is Cs not included in the current divider ?
To my understanding of current divider, It = Id+Io, where It is the current flowing through Rd
So, Io = It*(1/Cs)/(1/Cc2)+RL
Hi all,
I am making a frequency mixer to add together channels of an amplifier I have at 52.892kHz. I am attaching a picture of the schematic and the physical circuit I made along with the output on the oscilloscope I am measuring. Instead of the three outputs shown in the schematic, I am just...
I am drowning in math right now and would love some help bc I am horrible at math.
Here is what I have got.
Question:
1. The four major blood groups are designated A, B, AB and O. Within each group there are two types; positive and negative. Find data on the relative frequency of these eight...
Homework Statement
Two speakers are arranged as shown. For this problem, assume that point O is 12 m along the center line and the speakers are separated by a distance of 1.5 m. As the listener moves toward point P from point O, a series of alternating minima and maxima is encountered. The...
Hi,
how do power operators change the droop setting in modern power plants? Back in the days it was with help of a flyball governor(?). In todays power plants do operators adjust some sort of gain electronically via a scada system or something?
when a piezoelectric material experience a stress it generates voltage, and also when you applied voltage the piezo-material experience a vibrational frequency. Using oscilloscope we can determine the induced frequency of the piezo-material with respect to the applied voltage. Now given the...
Homework Statement
A rope has an end fixed and the other is passing through a pulley and has a body attached to it. The fondamental frequency of the rope is initially ##f_1=400 Hz##. If the body is then put in water the fondamental frequency of the rope becomes ##f_2=345 Hz##. If the linear...
Homework Statement
We have done the experiment about this but now we have to do a report on it. Not a basic or simple but a report with a professional standard. I did mine but its to simple. I started it again but its too short so i was wondering if someone can give me a start on the physics...
Homework Statement
I did an experiment about the loading of tuning forks. I added blue tac to one of the prongs on a tuning fork and then weighed it. I then measured the different frequencies for each mass and plotted a graph which ended up looking like a exponential decay graph. The results...
Recently I learned some communication theory, which uses negative frequency, what does negative frequency means? So I checked textbook, found the negative frequency comes from the Fourier transform, which comes from the euler formula, e-jx=cosx+isinx,
or another form cosx=(ejx+e-jx)/2, then any...
This question is primarily regarding transformers, particularly the impact frequency has on hysteresis loss.
Given hysteresis loss = η×Bmax×f×V
and Bmax = (V ×〖10〗^ 8)/(√2 π×f×N×A)
This means that hysteresis loss
= η (V ×〖10〗^8)/(√2 π×f×N×A) fV
= (η ×〖10〗^8)/(√2 π×N×A) V^2
And as such...
I was reading up on (discrete) Fourier transform when my mind started to think of an what-if scenario:
Assumed I'm sampling a signal of the form
a1*sin(b1+c1) + a2*sin(b2+c2) + a3*sin(b3+c3) + ... + aN*sin(bN+cN) + some noise
where the a's represents magnitudes, b's represents frequencies and...
Does the nature of radiation emitted by dense bodies like black holes differ in frequency from radiation emitted by regular stars like our Sun ? I believe that the former radiates more x-rays and high frequencies rather than the latter which radiates mainly uv, visible and infrared ranges. Is...
A source that is orbiting close to a singularity of a black hole is transmitting a radio frequency signal that lasts 60 seconds and is repeated infinitely. The signal is being transmitted using the amplitude modulation method (AM Radio). Let suppose that each minute passing in the transmitting...
How are the intensity of a sound wave and the Doppler shift of frequency related togheter?
That is, if the source or the observer are in relative motion, how does the intensity change?
For a sound wave $$I=\frac{1}{2} \rho \omega^2 A^2 c=2 \pi^2 \rho f^2 A^2c$$
(##c## is sound speed, ##\rho##...
I'm facing some difficulties in using "boundary conditions" in a simple wavefunction.
The wavefunction I'm considering is $$\xi(x,t)=A sin (k x \pm \omega t +\psi)$$
The minus or plus are for progressive or regressive waves. The indipendent parameters are 4: ##A##, ##k##, ##\omega##, ##\psi##...
Homework Statement
You have a device that can measure sound waves only if the frequency of the wave is in the range ##0.8 kHz- 20 kHz##. You have a whistle that produces sound waves at ##21.5kHz##. You ride a bike moving away from a wall, at the same time you blow the whistle and hold the...
The beats frequency heard from the interference of two sound waves with frequencies ##f_1## and ##f_2## is $$\nu=|f_1-f_2|$$
Nevertheless the frequency of the resulting wave is not ##\nu## but the mean value of the two frequencies
$$f_{resulting}=\frac{f_1+f_2}{2}$$
As far as I understood...
Homework Statement
Homework EquationsThe Attempt at a Solution
I found this solution for the nature frequency
but here it does not include the Ball weight and centrifugal force in the moment balance equation about the pivot (O), it is wrong answer...is not it?
I tried to solve the problem...